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Finding the Third Proportional to 412 and 847

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Solution

The third proportional to 412 and 847 is: 1,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 847 = 847 : x
  2. Step 2: Convert to fraction form
    412/847 = 847/x
  3. Step 3: Cross multiply
    412x = 847 × 847
  4. Step 4: Simplify right side
    412x = 717,409
  5. Step 5: Solve for x
    x = 717,409/412
  6. Step 6: Final answer
    x = 1,741.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.